Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorPaoloPerrone
   • CommentTimeFeb 2nd 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexStarted page, more to come. The content will be more or less dual to the one of [[tensor product of algebras over a commutative monad]], with as little overlap as possible. <a href="https://ncatlab.org/nlab/revision/internal+hom+of+algebras+over+a+commutative+monad/1">v1</a>, <a href="https://ncatlab.org/nlab/show/internal+hom+of+algebras+over+a+commutative+monad">current</a>

   Started page, more to come. The content will be more or less dual to the one of tensor product of algebras over a commutative monad, with as little overlap as possible.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorPaoloPerrone
   • CommentTimeFeb 2nd 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexAdded basic construction <a href="https://ncatlab.org/nlab/revision/diff/internal+hom+of+algebras+over+a+commutative+monad/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/internal+hom+of+algebras+over+a+commutative+monad/4">v4</a>, <a href="https://ncatlab.org/nlab/show/internal+hom+of+algebras+over+a+commutative+monad">current</a>

   Added basic construction

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorTodd_Trimble
   • CommentTimeFeb 2nd 2020
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexWhy with as little overlap as possible? In my opinion, it's the construction of the internal hom which not only determines the tensor product by the adjunction, but actually helps motivates its construction, as one can see in the case of abelian groups or of sup-lattices.

   Why with as little overlap as possible? In my opinion, it’s the construction of the internal hom which not only determines the tensor product by the adjunction, but actually helps motivates its construction, as one can see in the case of abelian groups or of sup-lattices.